540732192 has 384 divisors, whose sum is σ = 2023999488. Its totient is φ = 121651200.

The previous prime is 540732167. The next prime is 540732211. The reversal of 540732192 is 291237045.

It is a super-3 number, since 3×540732192³ (a number of 27 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1633467 + ... + 1633797.

It is an arithmetic number, because the mean of its divisors is an integer number (5270832).

Almost surely, 2^540732192 is an apocalyptic number.

540732192 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540732192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011999744).

540732192 is an abundant number, since it is smaller than the sum of its proper divisors (1483267296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

540732192 is a wasteful number, since it uses less digits than its factorization.

540732192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 540732192 is about 23253.6490039735. The cubic root of 540732192 is about 814.6931696562.

It can be divided in two parts, 54073 and 2192, that added together give a palindrome (56265).

The spelling of 540732192 in words is "five hundred forty million, seven hundred thirty-two thousand, one hundred ninety-two".